Math

GL(n,R)
This a question from "Ask an algebraist". http://at.yorku.ca/cgi-bin/bbqa?forum=ask_an_algebraist;task=show_msg;msg=1513 "Is the general linear group GL(n,R) has a discontinuous automorphisms? where GL(n,R) isomorphic to the semidirect product of the special linear group and the R\{0}." ==================... 20 Jun 2010 10:11

Orthogonal_Complement
In Michael Artin's Algebra page 243, ======================================================= If W is a subspace of a vector space V, then the set of al vectors v which are orthogonal to every w in W is W'={v \in V | <v, W>=0}. This is a subspace of V and is called the orthogonal complement to W satisfying ... 21 Jun 2010 11:19

Light cancel of energy never happens
Wave science extrapolates something that is not true about light. You cannot align lasers to cancel each other. This extrapolation of peek and trough cancel never happens in any experiment. It is a fact. You still have the same energy at the detection screen in the airy experiment. They only add. Light energy is... 19 Jun 2010 22:10

HOW DID GOVERNMENT BEGIN?
A government was formed when a man with the most security men went around demanding 10% - 50% of EVERYONE'S goods and income, by threatening to destroy their farms or put them in his dungeon. Herc -- If you ever rob someone, even to get your own stuff back, don't use the phrase "Nobody leave the room!" ~ OJ Si... 19 Jun 2010 20:00

THE CANTOR ARGUMENT SO FAR
------------------------SCI.MATH----------------------------- Take any list of reals 123 456 789 Diag = 159 AntiDiag = 260 It's a NEW DIGIT SEQUENCE and it works on EVERY LIST. ---------------------------HERC------------------------------ defn(herc_cant_3) The list of computable reals contains eve... 22 Jun 2010 14:56

JSH: Judging difficulty
Confident people can be VERY convincing, and over the years I've more than once ran into the issue of, if so many people say you're wrong, how can you be right? And that has bugged me as well, which goes to the real reason I talked a lot about Google searches. Sure I can put forward a mathematical argument and s... 20 Jun 2010 05:54

additive versus multiplicative creation: Dirac's new radioactivities Chapt 5 #178; ATOM TOTALITY
An interesting prospect would be to see whether the planets and satellites have a chemical composition more in keeping with a additive creation versus multiplicative. In Dirac's book, Directions in Physics, he computes that the Moon would recede from Earth if multiplicative creation by 2cm/year and would approa... 19 Jun 2010 14:34

-> Higher Infinities
On 19 Jun., 11:38, "|-|ercules" <radgray...(a)yahoo.com> wrote: [ An AD(n) = (L(n,n) + 1) mod 9 -> An AD(n) =/= L(n,n) ] -> Higher Infinities Does anyone agree with the above version of Cantor's proof? Herc -- "And God posted an angel with a flaming sword at the gates of Cantor's   paradise, that ... 21 Jun 2010 23:37

proof by induction F_n >= 2^.5n for F_n fibonacci term n>=6
I am trying to rebuild my rusty proof by induction skills... We want to show for the fibonacci terms F_n n>=6 that F_n >= 2^(0.5n). Proof: (i) Basis step If k=6 then F_6=8 and 2^(0.5(6))=2^3=8 (ii) Assume that for any k>=6 then F_k >= 2^(0.5k) (iii) Want to show this F_(k+1) >= 2^(0.5(k+1... 19 Jun 2010 13:28

is H_s an algebra?
Is it true that given f,g in H_s (s real and s > n/2) and indicating with F the Fourier transform operator we have: F(fg) = F(f)*F(g) ? In other words is H_s an algebra for s > n/2 ? I hope I'm making some sense. Any approachable reference on Sobolev spaces? My notes are a disaster, even online notes are fin... 25 Jun 2010 01:11